The guitarist was in the group from 1969 to 1974 and appeared when they played their 50th anniversary shows in London last year, and would love to join them at the iconic festival in June.
Mick told The Sun newspaper: ''It would be great. I really didn't think they'd be touring again. But I hoped they'd want to re-create some of the music from my days in the band. It would be a big noise, I tell you.
''Having said that, the last time I saw them play live from the crowd was at Wembley Stadium six or seven years ago and to me it seemed that they hardly played anything from the Seventies or indeed the Sixties.''
The band also welcomed back Bill Wyman, who quit in 1993 after over 30 years with the band, at the 50 and Counting shows, although he later said he was ''a bit disappointed'' and had wanted a bigger role in the comeback.
Bill - who performed 'Honky Tonk Women' and 'It's Only Rock 'n' Roll (But I Like It)' with the band in London - said: ''In December 2011 [guitarist] Keith Richards called and said, 'Come on mate, why don't you have a jam with us?' Then they asked if I'd be interested in getting involved in the band for special occasions.
''I thought I would get quite heavily involved, so when they said they only wanted me to do two songs I was a bit disappointed.
''I only had one rehearsal and no sound-check so I just winged it. It was great, but I didn't want to go to America for two songs. I think they understood. Well, [drummer] Charlie Watts did.''
Other guests who performed with the band - which also includes Ronnie Wood and Sir Mick Jagger - during their 50th anniversary shows in the US and UK included Lady GaGa, Florence Welch, Mary J. Blige and Eric Clapton.